Theorems · Theorem · group theory
AddMonoid.exponent_pi_eq_zero
∀ {ι : Type u_1} {M : ι → Type u_2} [inst : (i : ι) → AddMonoid (M i)] {j : ι},
AddMonoid.exponent (M j) = 0 → AddMonoid.exponent ((i : ι) → M i) = 0- Defined in
- Mathlib.GroupTheory.Exponent
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddMonoid
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- Pi.singleproof · cited by 518
- Pi.single_eq_sameproof · cited by 144
- AddMonoid.exponentstatement and proof · cited by 70
- AddMonoid.exponent_eq_zero_iffproof · cited by 5
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